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Finding the Third Proportional to 202,371 and 292,369

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Solution

The third proportional to 202,371 and 292,369 is: 422,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,371 : 292,369 = 292,369 : x
  2. Step 2: Convert to fraction form
    202,371/292,369 = 292,369/x
  3. Step 3: Cross multiply
    202,371x = 292,369 × 292,369
  4. Step 4: Simplify right side
    202,371x = 85,479,632,161
  5. Step 5: Solve for x
    x = 85,479,632,161/202,371
  6. Step 6: Final answer
    x = 422,390.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.